Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600x |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1380000000000 = -1 · 211 · 3 · 510 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 0 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5208,153588] |
[a1,a2,a3,a4,a6] |
j |
-781250/69 |
j-invariant |
L |
1.6725316709931 |
L(r)(E,1)/r! |
Ω |
0.83626583549691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13800e1 110400fw1 82800bn1 27600p1 |
Quadratic twists by: -4 8 -3 5 |